Tensegrity grids composed of  tensegrity units that form double layer cable nets of single or double curvature can find applications in architecture as surface structures. In this paper a parametric process for the geometric configuration and representation of double layer tensegrity structures of helical shape is discussed. Departing from the geometric construction process, an algorithm that facilitates  the parametric description of helical tensegrity structures has been developed. The algorithm reflects the  interdependence of all parameters involved in the design of helical tensegrity structures and has been integrated into a software application that enables the automatic generation of virtual models of helical configurations in a graphic environment.